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Author*The author of this computation has been verified*
R Software Modulerwasp_pairs.wasp
Title produced by softwareKendall tau Correlation Matrix
Date of computationFri, 23 Dec 2016 13:06:15 +0100
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2016/Dec/23/t1482494873lo5rlz80mm4u4ne.htm/, Retrieved Tue, 07 May 2024 11:43:13 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=302888, Retrieved Tue, 07 May 2024 11:43:13 +0000
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Estimated Impact56
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-     [Kendall tau Correlation Matrix] [Pearson correlati...] [2016-11-30 12:08:08] [e37f5c813d0dfcb3787d64bb91655c98]
- R P     [Kendall tau Correlation Matrix] [Kendall rank corr...] [2016-12-23 12:06:15] [532823e65ff0a5fb51127419eb0f7462] [Current]
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Dataseries X:
5	3	4	5
2	2	5	2
3	3	4	2
3	3	4	2
3	2	4	4
4	4	5	4
4	3	5	NA
2	2	5	3
5	4	5	2
4	2	5	4
2	2	5	2
4	4	4	4
3	5	4	3
3	5	5	3
4	2	5	4
2	2	4	3
1	1	4	2
NA	5	NA	NA
2	2	4	2
3	4	5	2
5	4	5	2
4	4	4	3
5	4	4	2
3	3	4	2
5	5	5	3
2	2	4	2
4	5	5	3
4	2	4	2
3	3	5	2
2	1	4	2
1	1	4	5
2	2	3	3
5	1	5	4
4	4	4	3
3	3	4	3
2	3	5	3
1	2	4	2
3	2	5	4
3	3	5	3
3	1	5	2
5	3	4	3
2	2	4	4
2	2	4	3
1	2	5	4
4	4	4	3
4	1	4	4
2	2	4	3
1	5	2	2
5	4	4	3
4	4	4	1
4	4	5	2
4	2	5	3
2	2	5	3
2	2	4	2
3	2	4	3
2	1	4	2
3	5	5	2
4	5	5	2
3	3	4	2
2	2	5	2
2	2	5	2
1	2	4	2
3	2	5	3
4	5	5	3
4	5	5	4
4	3	5	3
3	3	3	3
5	4	5	4
4	1	4	2
1	1	3	1
1	1	5	3
5	5	5	4
5	4	3	4
3	1	4	4
2	2	4	2
4	3	5	2
4	2	5	1
4	2	5	2
4	5	5	2
5	5	5	3
4	2	5	2
4	4	4	3
4	4	4	4
2	1	4	2
1	1	5	2
1	2	4	1
5	4	5	4
5	5	5	3
3	2	5	4
2	2	2	2
4	3	4	3
2	1	5	5
3	4	4	3
1	1	4	1
5	5	5	3
4	4	5	3
2	1	4	2
2	3	5	1
1	1	5	3
4	2	5	2
2	1	5	2
3	1	5	3
1	3	4	3
2	2	5	3
3	2	4	3
1	2	5	2
5	5	5	NA
4	3	4	1
1	2	5	4
4	4	5	3
1	3	5	2
4	2	3	3
2	2	5	3
3	4	3	3
3	1	4	2
3	4	4	3
3	3	5	2
3	5	4	3
2	4	5	2
2	3	5	3
4	4	5	4
2	3	4	3
5	5	4	3
1	1	5	2
3	2	4	3
3	4	5	2
3	4	5	2
4	5	3	2
3	2	5	2
3	3	4	NA
2	4	4	3
4	5	4	2
5	5	3	3
4	2	5	2
4	4	4	2
4	4	4	2
3	5	4	5
4	2	4	3
3	4	5	3
NA	1	5	1
1	2	5	3
2	2	5	2
1	1	4	3
4	4	4	3
5	3	5	3
4	4	5	3
3	1	4	2
2	4	5	4
1	2	5	2
3	3	5	1
4	3	5	2
4	5	5	4
1	5	5	4
5	5	5	4
3	4	3	3
NA	2	4	2
4	2	5	4
1	1	3	2
3	2	4	5
3	4	NA	2
4	2	5	3
4	3	2	2
5	5	5	3
1	1	3	3
NA	5	5	4
1	1	1	2
5	3	5	4
3	4	5	2
4	3	5	5




Summary of computational transaction
Raw Input view raw input (R code)
Raw Outputview raw output of R engine
Computing time1 seconds
R ServerBig Analytics Cloud Computing Center

\begin{tabular}{lllllllll}
\hline
Summary of computational transaction \tabularnewline
Raw Input view raw input (R code)  \tabularnewline
Raw Outputview raw output of R engine  \tabularnewline
Computing time1 seconds \tabularnewline
R ServerBig Analytics Cloud Computing Center \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=302888&T=0

[TABLE]
[ROW]
Summary of computational transaction[/C][/ROW] [ROW]Raw Input[/C] view raw input (R code) [/C][/ROW] [ROW]Raw Output[/C]view raw output of R engine [/C][/ROW] [ROW]Computing time[/C]1 seconds[/C][/ROW] [ROW]R Server[/C]Big Analytics Cloud Computing Center[/C][/ROW] [/TABLE] Source: https://freestatistics.org/blog/index.php?pk=302888&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=302888&T=0

As an alternative you can also use a QR Code:  

The GUIDs for individual cells are displayed in the table below:

Summary of computational transaction
Raw Input view raw input (R code)
Raw Outputview raw output of R engine
Computing time1 seconds
R ServerBig Analytics Cloud Computing Center







Correlations for all pairs of data series (method=kendall)
EC1EC2EC3EC4
EC110.460.1150.206
EC20.4610.0920.141
EC30.1150.09210.079
EC40.2060.1410.0791

\begin{tabular}{lllllllll}
\hline
Correlations for all pairs of data series (method=kendall) \tabularnewline
  & EC1 & EC2 & EC3 & EC4 \tabularnewline
EC1 & 1 & 0.46 & 0.115 & 0.206 \tabularnewline
EC2 & 0.46 & 1 & 0.092 & 0.141 \tabularnewline
EC3 & 0.115 & 0.092 & 1 & 0.079 \tabularnewline
EC4 & 0.206 & 0.141 & 0.079 & 1 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=302888&T=1

[TABLE]
[ROW][C]Correlations for all pairs of data series (method=kendall)[/C][/ROW]
[ROW][C] [/C][C]EC1[/C][C]EC2[/C][C]EC3[/C][C]EC4[/C][/ROW]
[ROW][C]EC1[/C][C]1[/C][C]0.46[/C][C]0.115[/C][C]0.206[/C][/ROW]
[ROW][C]EC2[/C][C]0.46[/C][C]1[/C][C]0.092[/C][C]0.141[/C][/ROW]
[ROW][C]EC3[/C][C]0.115[/C][C]0.092[/C][C]1[/C][C]0.079[/C][/ROW]
[ROW][C]EC4[/C][C]0.206[/C][C]0.141[/C][C]0.079[/C][C]1[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=302888&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=302888&T=1

As an alternative you can also use a QR Code:  

The GUIDs for individual cells are displayed in the table below:

Correlations for all pairs of data series (method=kendall)
EC1EC2EC3EC4
EC110.460.1150.206
EC20.4610.0920.141
EC30.1150.09210.079
EC40.2060.1410.0791







Correlations for all pairs of data series with p-values
pairPearson rSpearman rhoKendall tau
EC1;EC20.54130.54320.4597
p-value(0)(0)(0)
EC1;EC30.1560.13110.115
p-value(0.0482)(0.0974)(0.0933)
EC1;EC40.22610.24380.206
p-value(0.0039)(0.0018)(0.0018)
EC2;EC30.09480.10550.0918
p-value(0.2314)(0.1829)(0.1803)
EC2;EC40.14240.16830.1412
p-value(0.0715)(0.0329)(0.0324)
EC3;EC40.11370.08810.0787
p-value(0.151)(0.2666)(0.2661)

\begin{tabular}{lllllllll}
\hline
Correlations for all pairs of data series with p-values \tabularnewline
pair & Pearson r & Spearman rho & Kendall tau \tabularnewline
EC1;EC2 & 0.5413 & 0.5432 & 0.4597 \tabularnewline
p-value & (0) & (0) & (0) \tabularnewline
EC1;EC3 & 0.156 & 0.1311 & 0.115 \tabularnewline
p-value & (0.0482) & (0.0974) & (0.0933) \tabularnewline
EC1;EC4 & 0.2261 & 0.2438 & 0.206 \tabularnewline
p-value & (0.0039) & (0.0018) & (0.0018) \tabularnewline
EC2;EC3 & 0.0948 & 0.1055 & 0.0918 \tabularnewline
p-value & (0.2314) & (0.1829) & (0.1803) \tabularnewline
EC2;EC4 & 0.1424 & 0.1683 & 0.1412 \tabularnewline
p-value & (0.0715) & (0.0329) & (0.0324) \tabularnewline
EC3;EC4 & 0.1137 & 0.0881 & 0.0787 \tabularnewline
p-value & (0.151) & (0.2666) & (0.2661) \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=302888&T=2

[TABLE]
[ROW][C]Correlations for all pairs of data series with p-values[/C][/ROW]
[ROW][C]pair[/C][C]Pearson r[/C][C]Spearman rho[/C][C]Kendall tau[/C][/ROW]
[ROW][C]EC1;EC2[/C][C]0.5413[/C][C]0.5432[/C][C]0.4597[/C][/ROW]
[ROW][C]p-value[/C][C](0)[/C][C](0)[/C][C](0)[/C][/ROW]
[ROW][C]EC1;EC3[/C][C]0.156[/C][C]0.1311[/C][C]0.115[/C][/ROW]
[ROW][C]p-value[/C][C](0.0482)[/C][C](0.0974)[/C][C](0.0933)[/C][/ROW]
[ROW][C]EC1;EC4[/C][C]0.2261[/C][C]0.2438[/C][C]0.206[/C][/ROW]
[ROW][C]p-value[/C][C](0.0039)[/C][C](0.0018)[/C][C](0.0018)[/C][/ROW]
[ROW][C]EC2;EC3[/C][C]0.0948[/C][C]0.1055[/C][C]0.0918[/C][/ROW]
[ROW][C]p-value[/C][C](0.2314)[/C][C](0.1829)[/C][C](0.1803)[/C][/ROW]
[ROW][C]EC2;EC4[/C][C]0.1424[/C][C]0.1683[/C][C]0.1412[/C][/ROW]
[ROW][C]p-value[/C][C](0.0715)[/C][C](0.0329)[/C][C](0.0324)[/C][/ROW]
[ROW][C]EC3;EC4[/C][C]0.1137[/C][C]0.0881[/C][C]0.0787[/C][/ROW]
[ROW][C]p-value[/C][C](0.151)[/C][C](0.2666)[/C][C](0.2661)[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=302888&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=302888&T=2

As an alternative you can also use a QR Code:  

The GUIDs for individual cells are displayed in the table below:

Correlations for all pairs of data series with p-values
pairPearson rSpearman rhoKendall tau
EC1;EC20.54130.54320.4597
p-value(0)(0)(0)
EC1;EC30.1560.13110.115
p-value(0.0482)(0.0974)(0.0933)
EC1;EC40.22610.24380.206
p-value(0.0039)(0.0018)(0.0018)
EC2;EC30.09480.10550.0918
p-value(0.2314)(0.1829)(0.1803)
EC2;EC40.14240.16830.1412
p-value(0.0715)(0.0329)(0.0324)
EC3;EC40.11370.08810.0787
p-value(0.151)(0.2666)(0.2661)







Meta Analysis of Correlation Tests
Number of significant by total number of Correlations
Type I errorPearson rSpearman rhoKendall tau
0.010.330.330.33
0.020.330.330.33
0.030.330.330.33
0.040.330.50.5
0.050.50.50.5
0.060.50.50.5
0.070.50.50.5
0.080.670.50.5
0.090.670.50.5
0.10.670.670.67

\begin{tabular}{lllllllll}
\hline
Meta Analysis of Correlation Tests \tabularnewline
Number of significant by total number of Correlations \tabularnewline
Type I error & Pearson r & Spearman rho & Kendall tau \tabularnewline
0.01 & 0.33 & 0.33 & 0.33 \tabularnewline
0.02 & 0.33 & 0.33 & 0.33 \tabularnewline
0.03 & 0.33 & 0.33 & 0.33 \tabularnewline
0.04 & 0.33 & 0.5 & 0.5 \tabularnewline
0.05 & 0.5 & 0.5 & 0.5 \tabularnewline
0.06 & 0.5 & 0.5 & 0.5 \tabularnewline
0.07 & 0.5 & 0.5 & 0.5 \tabularnewline
0.08 & 0.67 & 0.5 & 0.5 \tabularnewline
0.09 & 0.67 & 0.5 & 0.5 \tabularnewline
0.1 & 0.67 & 0.67 & 0.67 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=302888&T=3

[TABLE]
[ROW][C]Meta Analysis of Correlation Tests[/C][/ROW]
[ROW][C]Number of significant by total number of Correlations[/C][/ROW]
[ROW][C]Type I error[/C][C]Pearson r[/C][C]Spearman rho[/C][C]Kendall tau[/C][/ROW]
[ROW][C]0.01[/C][C]0.33[/C][C]0.33[/C][C]0.33[/C][/ROW]
[ROW][C]0.02[/C][C]0.33[/C][C]0.33[/C][C]0.33[/C][/ROW]
[ROW][C]0.03[/C][C]0.33[/C][C]0.33[/C][C]0.33[/C][/ROW]
[ROW][C]0.04[/C][C]0.33[/C][C]0.5[/C][C]0.5[/C][/ROW]
[ROW][C]0.05[/C][C]0.5[/C][C]0.5[/C][C]0.5[/C][/ROW]
[ROW][C]0.06[/C][C]0.5[/C][C]0.5[/C][C]0.5[/C][/ROW]
[ROW][C]0.07[/C][C]0.5[/C][C]0.5[/C][C]0.5[/C][/ROW]
[ROW][C]0.08[/C][C]0.67[/C][C]0.5[/C][C]0.5[/C][/ROW]
[ROW][C]0.09[/C][C]0.67[/C][C]0.5[/C][C]0.5[/C][/ROW]
[ROW][C]0.1[/C][C]0.67[/C][C]0.67[/C][C]0.67[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=302888&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=302888&T=3

As an alternative you can also use a QR Code:  

The GUIDs for individual cells are displayed in the table below:

Meta Analysis of Correlation Tests
Number of significant by total number of Correlations
Type I errorPearson rSpearman rhoKendall tau
0.010.330.330.33
0.020.330.330.33
0.030.330.330.33
0.040.330.50.5
0.050.50.50.5
0.060.50.50.5
0.070.50.50.5
0.080.670.50.5
0.090.670.50.5
0.10.670.670.67



Parameters (Session):
par1 = kendall ;
Parameters (R input):
par1 = kendall ;
R code (references can be found in the software module):
panel.tau <- function(x, y, digits=2, prefix='', cex.cor)
{
usr <- par('usr'); on.exit(par(usr))
par(usr = c(0, 1, 0, 1))
rr <- cor.test(x, y, method=par1)
r <- round(rr$p.value,2)
txt <- format(c(r, 0.123456789), digits=digits)[1]
txt <- paste(prefix, txt, sep='')
if(missing(cex.cor)) cex <- 0.5/strwidth(txt)
text(0.5, 0.5, txt, cex = cex)
}
panel.hist <- function(x, ...)
{
usr <- par('usr'); on.exit(par(usr))
par(usr = c(usr[1:2], 0, 1.5) )
h <- hist(x, plot = FALSE)
breaks <- h$breaks; nB <- length(breaks)
y <- h$counts; y <- y/max(y)
rect(breaks[-nB], 0, breaks[-1], y, col='grey', ...)
}
x <- na.omit(x)
y <- t(na.omit(t(y)))
bitmap(file='test1.png')
pairs(t(y),diag.panel=panel.hist, upper.panel=panel.smooth, lower.panel=panel.tau, main=main)
dev.off()
load(file='createtable')
n <- length(y[,1])
print(n)
a<-table.start()
a<-table.row.start(a)
a<-table.element(a,paste('Correlations for all pairs of data series (method=',par1,')',sep=''),n+1,TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,' ',header=TRUE)
for (i in 1:n) {
a<-table.element(a,dimnames(t(x))[[2]][i],header=TRUE)
}
a<-table.row.end(a)
for (i in 1:n) {
a<-table.row.start(a)
a<-table.element(a,dimnames(t(x))[[2]][i],header=TRUE)
for (j in 1:n) {
r <- cor.test(y[i,],y[j,],method=par1)
a<-table.element(a,round(r$estimate,3))
}
a<-table.row.end(a)
}
a<-table.end(a)
table.save(a,file='mytable.tab')
ncorrs <- (n*n -n)/2
mycorrs <- array(0, dim=c(10,3))
a<-table.start()
a<-table.row.start(a)
a<-table.element(a,'Correlations for all pairs of data series with p-values',4,TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'pair',1,TRUE)
a<-table.element(a,'Pearson r',1,TRUE)
a<-table.element(a,'Spearman rho',1,TRUE)
a<-table.element(a,'Kendall tau',1,TRUE)
a<-table.row.end(a)
cor.test(y[1,],y[2,],method=par1)
for (i in 1:(n-1))
{
for (j in (i+1):n)
{
a<-table.row.start(a)
dum <- paste(dimnames(t(x))[[2]][i],';',dimnames(t(x))[[2]][j],sep='')
a<-table.element(a,dum,header=TRUE)
rp <- cor.test(y[i,],y[j,],method='pearson')
a<-table.element(a,round(rp$estimate,4))
rs <- cor.test(y[i,],y[j,],method='spearman')
a<-table.element(a,round(rs$estimate,4))
rk <- cor.test(y[i,],y[j,],method='kendall')
a<-table.element(a,round(rk$estimate,4))
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'p-value',header=T)
a<-table.element(a,paste('(',round(rp$p.value,4),')',sep=''))
a<-table.element(a,paste('(',round(rs$p.value,4),')',sep=''))
a<-table.element(a,paste('(',round(rk$p.value,4),')',sep=''))
a<-table.row.end(a)
for (iii in 1:10) {
iiid100 <- iii / 100
if (rp$p.value < iiid100) mycorrs[iii, 1] = mycorrs[iii, 1] + 1
if (rs$p.value < iiid100) mycorrs[iii, 2] = mycorrs[iii, 2] + 1
if (rk$p.value < iiid100) mycorrs[iii, 3] = mycorrs[iii, 3] + 1
}
}
}
a<-table.end(a)
table.save(a,file='mytable1.tab')
a<-table.start()
a<-table.row.start(a)
a<-table.element(a,'Meta Analysis of Correlation Tests',4,TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'Number of significant by total number of Correlations',4,TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'Type I error',1,TRUE)
a<-table.element(a,'Pearson r',1,TRUE)
a<-table.element(a,'Spearman rho',1,TRUE)
a<-table.element(a,'Kendall tau',1,TRUE)
a<-table.row.end(a)
for (iii in 1:10) {
iiid100 <- iii / 100
a<-table.row.start(a)
a<-table.element(a,round(iiid100,2),header=T)
a<-table.element(a,round(mycorrs[iii,1]/ncorrs,2))
a<-table.element(a,round(mycorrs[iii,2]/ncorrs,2))
a<-table.element(a,round(mycorrs[iii,3]/ncorrs,2))
a<-table.row.end(a)
}
a<-table.end(a)
table.save(a,file='mytable2.tab')